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Sharp Norm Estimates for Weighted Bergman Projections in the Mixed Norm Spaces

  • J. GonessaEmail author
Functional Analysis
  • 15 Downloads

Abstract

In this paper, we show that the norm of the Bergman projection on Lp,q-spaces in the upper half-plane is comparable to csc(π/q). Then we extend this result to a more general class of domains, known as the homogeneous Siegel domains of type II.

Keywords

Siegel domain Bergman space Bergman projection 

MSC2010 numbers

47B35 32A36 30H25 30H30 46B70 46M35 

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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Université de BanguiBanguiRépublique Centrafricaine

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